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Finding the Fourth Proportional to 592.17, 883.86 and 522.98

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Solution

The fourth proportional to 592.17, 883.86 and 522.98 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.17 : 883.86 = 522.98 : x
  2. Step 2: Convert to fraction form
    592.17/883.86 = 522.98/x
  3. Step 3: Cross multiply
    592.17x = 883.86 × 522.98
  4. Step 4: Simplify right side
    592.17x = 462,236.68
  5. Step 5: Solve for x
    x = 462,236.68/592.17
  6. Step 6: Final answer
    x = 780.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.